Electron. J. Diff. Equ., Vol. 2014 (2014), No. 102, pp. 1-27.

Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N

Yi-Hsin Cheng, Tsung-Fang Wu

Abstract:
In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.

Submitted October 18, 2013. Published April 11 2014.
Math Subject Classifications: 35J20, 35J61.
Key Words: Ground state solutions; multiple positive solutions; Nehari manifold; variational method

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Yi-Hsin Cheng
Department of Applied Mathematics
National University of Kaohsiung
Kaohsiung 811, Taiwan
email: d0984103@mail.nuk.edu.tw
Tsung-Fang Wu
Department of Applied Mathematics
National University of Kaohsiung
Kaohsiung 811, Taiwan
email: tfwu@nuk.edu.tw

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